affine transformation
A geometric transformation that preserves lines and parallelism, but in general not…A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.
Meaning
1 sensesA geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.
An affine transformation does not in general preserve angles between lines or distances between points, but it does preserve ratios of distances between points lying on a straight line.
Given an affine space X, every affine transformation on X can be represented as the composition of a linear transformation on X and a translation of X.
affine Abbildung
аффи́нное преобразова́ниеaffínnoje preobrazovánije
- (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
Translations
6 languagesBy meaning 1
By meaning 1
Forms
plural: affine transformations| Singular | affine transformation |
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| Plural | affine transformations |
regular